Question

Найди корень уравнения

Answer 1

$frac{2s - 6}{ {s}^{2} - 9} - frac{s - 6}{ {s}^{2} - 3s} = frac{s - 1}{ {s}^{2} + 3s } \ frac{2(s - 3)}{(s - 3)(s + 3)} - frac{s - 6}{ {s}^{2} - 3s} = frac{s - 1}{ {s}^{2} + 3s} \ frac{2}{s + 3} - frac{s - 6}{ {s}^{2} - 3s } = frac{s - 1}{ {s}^{2} + 3s } \ frac{2}{s + 3} - frac{s - 6}{ {s}^{2} - 3s } - frac{s - 1}{ {s}^{2} + 3s } = 0 \ frac{2}{s + 3} - frac{s - 6}{s(s - 3)} - frac{s - 1}{s(s + 3)} = 0 \ frac{2s(s - 3) - (s + 3) times (s - 6) - (s - 3) times (s - 1)}{s times (s - 3)(s + 3)} = 0 \ frac{2 {s}^{2} - 6s - ( {s}^{2} - 3s - 18) - ( {s}^{2} - 4s + 3)}{s times (s - 3)(s + 3)} = 0 \ frac{0 + s + 15}{s times (s - 3)(s + 3)} = 0 \ frac{s + 15}{s times (s - 3)(s + 3)} = 0 \ s + 15 = 0 \ s = - 15$